In this case we can take a sufficiently small neighbourhood \(\Gamma \)  of \(x\)  in \(W^s(\Lambda ) \cap W^u(\Lambda )\)  so that (REF ) holds at each point of \(\Gamma \) , and the restrictions to \(\Gamma \)  of the holonomy maps are bijections onto their images. We call \(\Gamma \)  a homoclinic channel (see Figure REF ). We can then define the scattering map as follows [1]}.
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